Variational calculations for K-few-nucleon systems

Details Variational calculations for K-few-nucleon systems Variational calculations for K-few-nucleon systems

2008-08-25

arxiv.org/abs/0808.3329v1

Phys.Rev.C79:014001,2009

Physics

Nuclear Physics

Nuclear Theory

19 pages, 1 figure

Scientific paper

10.1103/PhysRevC.79.014001

Deeply bound KNN, KNNN and KNNNN states are discussed. The effective force exerted by the K meson on the nucleons is calculated with static nucleons. Next the binding energies are obtained by solving the Schrodinger equation or by variational calculations. The dominant attraction comes from the S-wave Lambda(1405) and an additional contribution is due to Sigma(1385). The latter state is formed at the nuclear peripheries and absorbs a sizable piece of the binding energy. It also generates new branches of quasi-bound states. The lowest binding energies based on a phenomenological KN input fall into the 40-80 MeV range for KNN, 90-150 MeV for KNNN and 120-220 MeV for K-alpha systems. The uncertainties are due to unknown KN interactions in the distant subthreshold energy region.

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